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Finding the Third Proportional to 1,635,209,048 and 2,452,213,240

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Solution

The third proportional to 1,635,209,048 and 2,452,213,240 is: 3,677,419,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,209,048 : 2,452,213,240 = 2,452,213,240 : x
  2. Step 2: Convert to fraction form
    1,635,209,048/2,452,213,240 = 2,452,213,240/x
  3. Step 3: Cross multiply
    1,635,209,048x = 2,452,213,240 × 2,452,213,240
  4. Step 4: Simplify right side
    1,635,209,048x = 6,013,349,774,431,297,536
  5. Step 5: Solve for x
    x = 6,013,349,774,431,297,536/1,635,209,048
  6. Step 6: Final answer
    x = 3,677,419,582.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.